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58385058385 = 5101990111677
BaseRepresentation
bin110110011000000001…
…010100101001010001
312120200221210021022211
4312120001110221101
51424033033332020
642453254232121
74134556544053
oct663001245121
9176627707284
1058385058385
1122840930575
12b395055641
135675cc2534
142b7c1cd8d3
1517baaa185a
hexd98054a51

58385058385 has 16 divisors (see below), whose sum is σ = 70768960272. Its totient is φ = 46236960000.

The previous prime is 58385058341. The next prime is 58385058397.

58385058385 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 24878121984 + 33506936401 = 157728^2 + 183049^2 .

It is not a de Polignac number, because 58385058385 - 215 = 58385025617 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4994167 + ... + 5005843.

It is an arithmetic number, because the mean of its divisors is an integer number (4423060017).

Almost surely, 258385058385 is an apocalyptic number.

It is an amenable number.

58385058385 is a deficient number, since it is larger than the sum of its proper divisors (12383901887).

58385058385 is a wasteful number, since it uses less digits than its factorization.

58385058385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21684.

The product of its (nonzero) digits is 23040000, while the sum is 58.

The spelling of 58385058385 in words is "fifty-eight billion, three hundred eighty-five million, fifty-eight thousand, three hundred eighty-five".

Divisors: 1 5 101 505 9901 11677 49505 58385 1000001 1179377 5000005 5896885 115613977 578069885 11677011677 58385058385